Atkin-Lehner |
2+ 3+ 7+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
51282a |
Isogeny class |
Conductor |
51282 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
32863040 |
Modular degree for the optimal curve |
Δ |
-3.3475659897045E+22 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7+ 11+ 1 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3705681021,86827000749381] |
[a1,a2,a3,a4,a6] |
j |
-208431832944390746091467088606219/1239839255446097625088 |
j-invariant |
L |
0.79602714573784 |
L(r)(E,1)/r! |
Ω |
0.079602714555005 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51282w1 |
Quadratic twists by: -3 |